40461086558880 has 768 divisors, whose sum is σ = 161706229977600. Its totient is φ = 9366554050560.

The previous prime is 40461086558857. The next prime is 40461086558897. The reversal of 40461086558880 is 8885568016404.

40461086558880 is a `hidden beast` number, since 4 + 0 + 4 + 610 + 8 + 6 + 5 + 5 + 8 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146046090 + ... + 146322870.

It is an arithmetic number, because the mean of its divisors is an integer number (210554986950).

Almost surely, 2^{40461086558880} is an apocalyptic number.

40461086558880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40461086558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80853114988800).

40461086558880 is an abundant number, since it is smaller than the sum of its proper divisors (121245143418720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40461086558880 is a wasteful number, since it uses less digits than its factorization.

40461086558880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276974 (or 276960 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 40461086558880 in words is "forty trillion, four hundred sixty-one billion, eighty-six million, five hundred fifty-eight thousand, eight hundred eighty".